2024/04/29 by Milutin Obradović, Obradović, Milutin, Nikola Tuneski +1
Physics and Astronomy · Mathematics · Chemistry · #Astronomical and nuclear sciences #Analytic and geometric function theory #Chemical Thermodynamics and Molecular Structure
paper · pdf · doi:10.48550/arxiv.2405.07997
It is well-known that the condition Re [1+(zf''(z))/(f'(z))]>0, z∈\mathbb D, implies that f is starlike function (i.e. convexity implies starlikeness). If the previous condition is not satisfied for every z∈ \mathbb D, then it is possible to get new criteria for starlikeness by using |arg[α+(zf''(z))/(f'(z))]|, z∈\mathbb D, where α>1.